Basic Examples (4) 

Define and show our values list:

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Use the default weights matrix to compute MoranI:

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Show a custom weights matrix:

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Compute MoranI using this matrix instead:

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Scope (2) 

Define 25 square regions in a grid and display them:

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Define a values list where every other cell has a value of 1 and the rest have a value of 0:

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Use a predefined weights matrix instead of a manual one for computing MoranI:

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MoranI supports symbolic computation:

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Applications (4) 

Create a list of four points:

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Create a weights matrix based on how close together the points are:

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Create random numbers as values for each point:

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Find the mean spatial autocorrelation of several different value lists over the same weights matrix:

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Possible Issues (2) 

The weights matrix cannot total to zero, since that would cause Σ_iΣ_jw_ij (the denominator of the second fraction) to equal zero and lead to an indeterminate answer:

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The first input cannot have all elements be equal, since that leads to (the first denominator) to also equal zero, giving an indeterminate answer:

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Neat Examples (3) 

Define a weights matrix corresponding to whether each pair of squares touch and show it:

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Compute the extent to which squares touching each other corresponds to them having similar values:

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Show the default weights matrix with length 25:

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Define a function to compute the length of the border between two countries:

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Compute the border length between every pair of countries in South America:

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Compute the army size of each country:

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Find how much sharing a long border is correlated to similar army size:

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